λ
Sigma Notebook

1,818,440

23 × 5 × 132 × 269
Abundant Even Composite

1,818,440 is even and not a perfect square. Its factorization is 2^3 × 5 × 13^2 × 269 and its 48 divisors sum to 4,446,900.

Prime Factor Structure

Factorization String 2^3 × 5 × 13^2 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,446,900
Proper Divisor Sum 2,628,460
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1818437 ← → #1818451

Radix Representation

Decimal 1818440
Binary 110111011111101001000 (21 bits)
Octal 0o6737510
Hexadecimal 0x1BBF48

Divisor Catalog (48)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 269 338 520 538 676 845 1,076 1,345 1,352 1,690 2,152 2,690 3,380 3,497 5,380 6,760 6,994 10,760 13,988 17,485 27,976 34,970 45,461 69,940 90,922 139,880 181,844 227,305 363,688 454,610 909,220 1,818,440

Collatz Trajectory (109 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,818,440 909,220 454,610 227,305 681,916 340,958 170,479 511,438 255,719 767,158 383,579 1,150,738 575,369 1,726,108 863,054 431,527 1,294,582 647,291 1,941,874 970,937 2,912,812 1,456,406 728,203 2,184,610 1,092,305 3,276,916 1,638,458 819,229 2,457,688 1,228,844 614,422 307,211 921,634 460,817 1,382,452 691,226 345,613 1,036,840 518,420 259,210 129,605 388,816 194,408 97,204 48,602 24,301 72,904 36,452 18,226 9,113 27,340 13,670 6,835 20,506 10,253 30,760 15,380 7,690 3,845 11,536

More profiles

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